The World of Mathematics, Vol. 2

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Overview

Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by and about scores of eminent mathematicians, economists, scientists, and others. Individual articles on "Mathematics of Motion," by Galileo Galilei; "Mathematics of Heredity," by Gregor Mendel; "Mathematics of Population and Food," by Thomas Robert Malthus, and many more. Informative commentary by noted mathematics scholar James R. Newman precedes each ...

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Overview

Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by and about scores of eminent mathematicians, economists, scientists, and others. Individual articles on "Mathematics of Motion," by Galileo Galilei; "Mathematics of Heredity," by Gregor Mendel; "Mathematics of Population and Food," by Thomas Robert Malthus, and many more. Informative commentary by noted mathematics scholar James R. Newman precedes each essay. Numerous figures.

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Editorial Reviews

Booknews
This collection of 38 essays examines the broad areas of mathematics and the physical world, mathematics and social science, and the laws of chance, featuring articles by Galileo, Malthus, and Keynes. A reprint of volume 2 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780486411507
  • Publisher: Dover Publications
  • Publication date: 9/18/2000
  • Series: Dover Books on Mathematics Series
  • Edition description: Unabridged Edition, Parts V-VII
  • Pages: 720
  • Sales rank: 773,109
  • Product dimensions: 5.37 (w) x 8.44 (h) x 1.26 (d)

Meet the Author

James R. Newman's World of Mathematics
James R. Newman (1907–1966) was a rare mathematician who was also a lawyer who held several administrative positions in the United States government during and after World War II, including Chief Intelligence Officer at the US Embassy in London. His mammoth four-volume World of Mathematics was first published in 1956 and reprinted by Dover in 2000. It represented the culmination of a fifteen-year effort by Newman, in his later years as a member of the Editorial Board of Scientific American, to assemble in one publication what he considered the most important essays in the field. It's the book that has introduced generations of students to the range and extent of mathematical literature.

In the Author's Own Words:
"The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing."

"The discovery in 1846 of the planet Neptune was a dramatic and spectacular achievement of mathematical astronomy. The very existence of this new member of the solar system, and its exact location, were demonstrated with pencil and paper; there was left to observers only the routine task of pointing their telescopes at the spot the mathematicians had marked." ― James R. Newman

Critical Acclaim for The World of Mathematics:
"Others with bigger and now whetted appetites will no doubt regard this book as a generous hors d’oeuvre and obtain additional fare by pursuing the numerous recommendations made by the author." ― Morris Kline, New York Herald Tribune Book Review

"Promises to be the most frequently used reference book on mathematics, as well as a delight to readers with a wide range of backgrounds." ― J.G. Kemeny, The New York Times

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Table of Contents

VOLUME TWO
PART V: Mathematics and the Physical World
  Galileo Galilei: Commentary
  1. Mathematics of Motion by GALILEO GALILEI
  The Bernoullis: Commentary
  2. Kinetic Theory of Gases by DANIEL BERNOULLI
  "A Great Prize, a Long-Suffering Inventor and the First Accurate Clock: Commentary"
  3. The Longitude by LLOYD A. BROWN
  John Couch Adams: Commentary
  4. John Couch Adams and the Discovery of Neptune by SIR HAROLD SPENCER JONES
  H. G. J. Mosley: Commentary
  5. Atomic Numbers by H. G. J. MOSLEY
  The Small Furniture of Earth: Commentary
  6. The Röntgen Rays by SIR WILLIAM BRAGG
  7. Crystals and the Future of Physics by PHILIPPE LE CORBEILLER
  "Queen Dido, Soap Bubbles, and a Blind Mathematician: Commentary"
  8. What Is Calculus of Variations and What Are Its Applications? By KARL MENGER
  9. The Soap-bubble by C. VERNON BOYS
  10. Plateau's Problem by RICHARD COURANT and HERBERT ROBBINS
  The Periodic Law and Mendeléeff: Commentary
  11. Periodic Law of the Chemical Elements by DMITRI MENDELÉEFF
  12. Mendeléeff by BERNARD JAFFE
  Gregor Mendel: Commentary
  13. Mathematics of Heredity by GREGOR MENDEL
  J. B. S. Haldane: Commentary
  14. On Being the Right Size by J. B. S. HALDANE
  15. Mathematics of Natural Selection by J. B. S. HALDANCE
  Erwin Schrödinger: Commentary
  16. Heredity and the Quantum Theory by ERWIN SCHRÖDINGER
  D'Arcy Wentworth Thompson: Commentary
  17. On Magnitude by D'ARCY WENTWORTH THOMPSON
  Uncertainty: Commentary
  18. The Uncertainty Principle by WERNER HEISENBERG
  19. Causality and Wave Mechanics by ERWIN SCHRÖDINGER
  Sir Arthur Stanley Eddington: Commentary
  20. The Constants of Nature by SIR ARTHUR STANLEY EDDINGTON
  21. The New Law of Gravitation and the Old Law by SIR ARTHUR STANLEY EDDINGTON
  Commentary
  22. The Theory of Relativity by CLEMENT V. DURELL
PART VI: Mathematics and Social Science
  The Founder of Psychophysics: Commentary
  1. Gustav Theodor Fechner by EDWIN G. BORING
  Sir Francis Galton: Commentary
  2. Classification of Men According to Their Natural Gifts by SIR FRANCIS GALTON
  Thomas Robert Malthus: Commentary
  3. Mathematics of Population and Food by THOMAS ROBERT MALTHUS
  "Cournot, Jevons, and the Mathematics of Money: Commentary"
  4. Mathematics of Value and Demand by AUGUSTIN COURNOT
  5. Theory of Political Economy by WILLIAM STANLEY JEVONS
  A Distinguished Quaker and War: Commentary
  6. Mathematics of War and Foreign Politics by LEWIS FRY RICHARDSON
  7. Statistics of Deadly Quarrels by LEWIS FRY RICHARDSON
  The Social Application of Mathematics: Commentary
  8. The Theory of Economic Behavior by LEONID HURWICZ
  9. Theory of Games by S. VAJDA
  10. Sociology Learns the Language of Mathematics by ABRAHAM KAPLAN
PART VII: The Laws of Chance
  Pierre Simon de Laplace: Commentary
  1. Concerning Probability by PIERRE SIMON DE LAPLACE
  2. The Red and the Black by CHARLES SANDERS PIERCE
  3. The Probability of Induction by CHARLES SANDER PIERCE
  Lord Keynes: Commentary
  4. The Applicant of Probability to Conduct by JOHN MAYNARD KEYNES
  An Absent-minded Genius and the Laws of Chance: Commentary 1374
  5. Chance by HENRI POINCARÉ
  Ernest Nagel and the Laws of Probability: Commentary
  6. The Meaning of Probability by ERNEST NAGEL
INDEX
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